Quiz: Solving Quadratics by the Quadratic Formula.
Solving Quadratics by the Quadratic Formula.
Quiz: Solving Quadratics by Completing the Square.
Solving Quadratics by Completing the Square.
Quiz: Solving Quadratics by the Square Root Property.
Solving Quadratics by the Square Root Property.
Quiz: Adding and Subtracting Radical Expressions.
Adding and Subtracting Radical Expressions.
Quiz: Proportion, Direct Variation, Inverse Variation, Joint Variation.
Proportion, Direct Variation, Inverse Variation, Joint Variation.
Quiz: Adding and Subtracting Rational Expressions.
Adding and Subtracting Rational Expressions.
Quiz: Trinomials of the Form ax^2 + bx + c.
Quiz: Trinomials of the Form x^2 + bx + c.
Quiz: Adding and Subtracting Polynomials.
Quiz: Linear Equations: Solutions Using Elimination with Three Variables.
Linear Equations: Solutions Using Elimination with Three Variables.
Quiz: Linear Equations: Solutions Using Determinants with Three Variables.
Linear Equations: Solutions Using Determinants with Three Variables.
Quiz: Linear Equations: Solutions Using Matrices with Three Variables.
Linear Equations: Solutions Using Matrices with Three Variables.
Quiz: Linear Inequalities: Solutions Using Graphing with Two Variables.
Linear Inequalities: Solutions Using Graphing with Two Variables.
Quiz: Linear Equations: Solutions Using Determinants with Two Variables.
Linear Equations: Solutions Using Determinants with Two Variables.
Quiz: Linear Equations: Solutions Using Matrices with Two Variables.
Quiz: Linear Equations: Solutions Using Graphing with Two Variables.
Linear Equations: Solutions Using Graphing with Two Variables.
Linear Equations: Solutions Using Matrices with Two Variables.
Quiz: Linear Equations: Solutions Using Elimination with Two Variables.
Linear Equations: Solutions Using Elimination with Two Variables.
Quiz: Linear Equations: Solutions Using Substitution with Two Variables.
Linear Equations: Solutions Using Substitution with Two Variables.
Quiz: Slopes of Parallel and Perpendicular Lines.
Slopes of Parallel and Perpendicular Lines.
Let u = -4x + 1 and y = ln u, Use the chain rule to find the derivative of function f as follows.
= / (1 - x) 2Įxample 4 Find the derivative of f(x) = ln (-4x + 1) Hence we use the quotient rule, f '(x) = / h(x) 2, to find the derivative of function f.į '(x) = / h(x) 2
Let g(x) = log 3 x and h(x) = 1 - x, function f is the quotient of functions g and h: f(x) = g(x) / h(x).
Use the sum rule, f '(x) = g '(x) + h '(x), to find the derivative of function fĮxample 3 Find the derivative of f(x) = log 3 x / ( 1 - x )
Let g(x) = ln x and h(x) = 6x 2, function f is the sum of functions g and h: f(x) = g(x) + h(x).
Note: if f(x) = ln x, then f '(x) = 1 / xĮxamples Example 1 Find the derivative of f(x) = log 3 xĮxample 2 Find the derivative of f(x) = ln x + 6x 2 The first derivative of f(x) = log b x is given by First Derivative of a Logarithmic Function to any Base